Search a number
-
+
316157093520 = 243531383110951
BaseRepresentation
bin1001001100111000110…
…11100110011010010000
31010020001112100102100020
410212130123212122100
520134442203443040
6401123543423440
731561444645302
oct4463433463220
91106045312306
10316157093520
11112099489854
1251334454b80
1323a762c8688
1411432cc7972
158355d85cd0
hex499c6e6690

316157093520 has 160 divisors (see below), whose sum is σ = 1014353362944. Its totient is φ = 81375168000.

The previous prime is 316157093509. The next prime is 316157093579. The reversal of 316157093520 is 25390751613.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2794045 + ... + 2904995.

Almost surely, 2316157093520 is an apocalyptic number.

316157093520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316157093520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507176681472).

316157093520 is an abundant number, since it is smaller than the sum of its proper divisors (698196269424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

316157093520 is a wasteful number, since it uses less digits than its factorization.

316157093520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111381 (or 111375 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The spelling of 316157093520 in words is "three hundred sixteen billion, one hundred fifty-seven million, ninety-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 383 465 496 620 744 766 930 1149 1240 1488 1532 1860 1915 2298 2480 3064 3720 3830 4596 5745 6128 7440 7660 9192 11490 11873 15320 18384 22980 23746 30640 35619 45960 47492 59365 71238 91920 94984 110951 118730 142476 178095 189968 221902 237460 284952 332853 356190 443804 474920 554755 569904 665706 712380 887608 949840 1109510 1331412 1424760 1664265 1775216 2219020 2662824 2849520 3328530 3439481 4438040 5325648 6657060 6878962 8876080 10318443 13314120 13757924 17197405 20636886 26628240 27515848 34394810 41273772 42494233 51592215 55031696 68789620 82547544 84988466 103184430 127482699 137579240 165095088 169976932 206368860 212471165 254965398 275158480 339953864 412737720 424942330 509930796 637413495 679907728 825475440 849884660 1019861592 1274826990 1317321223 1699769320 2039723184 2549653980 2634642446 3399538640 3951963669 5099307960 5269284892 6586606115 7903927338 10198615920 10538569784 13173212230 15807854676 19759818345 21077139568 26346424460 31615709352 39519636690 52692848920 63231418704 79039273380 105385697840 158078546760 316157093520